Two radio antennas A and B are placed 10.0 [m] apart as shown. They coherently emit identical radio waves with wavelength of 4.00 [m]. A detector (red dot) is initially placed at point O, a distance y above antenna B, where it registers the occurrence of +1 maximum. The detector is then moved along a straight line OP to a new location P that is directly to the right of antenna B. If the detector again registers m = +1 maximum at P, what is the distance r between points O and P? T 10.0 m r P T y B

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Chapter4: Diffraction
Section: Chapter Questions
Problem 53P: The analysis shown below also applies to diffraction gratings with lines separated by a distance d....
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Two radio antennas A and B are
placed 10.0 [m] apart as shown. They
coherently emit identical radio waves with
wavelength of 4.00 [m]. A detector (red dot) is
initially placed at point O, a distance y above
antenna B, where it registers the occurrence of
+1 maximum. The detector is then moved
along a straight line OP to a new location P
that is directly to the right of antenna B. If the
detector again registers m = +1 maximum at
P, what is the distance r between points O and
P?
T
10.0 m
r
P
T
y
B
O A. 5.70 [m]
O B. 6.12 [m]
O C. 10.9 [m]
OD. 12.6 [m]
Transcribed Image Text:Two radio antennas A and B are placed 10.0 [m] apart as shown. They coherently emit identical radio waves with wavelength of 4.00 [m]. A detector (red dot) is initially placed at point O, a distance y above antenna B, where it registers the occurrence of +1 maximum. The detector is then moved along a straight line OP to a new location P that is directly to the right of antenna B. If the detector again registers m = +1 maximum at P, what is the distance r between points O and P? T 10.0 m r P T y B O A. 5.70 [m] O B. 6.12 [m] O C. 10.9 [m] OD. 12.6 [m]
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